A census taker approaches a
house and asks the woman who answers the door "How many children do you
have, and what are their ages?"Woman: "I have three children;
the product of their ages is 36, the sum of their ages is equal to the
address of the house next door."The census taker walks next door, comes back and says "I need more information."The woman replies "I have to go; my oldest child is sleeping upstairs."Census taker: "Thank you, I now have everything I need."What are the ages of each of the three children?
reason the census taker could not figure out the children's ages is
because, even with knowing the number on the house next door there were
still two possibilities.The only way that the product could be
36 and still leave two possibilities is if the sum equals 13. These
possibilities being 9, 2 and 2 and 6, 6 and 1.When the home
owner stated that her "oldest" child is sleeping she was giving ths
census taker the fact that there is an "oldest." The children's ages are
therefore 9,2 and 2.